The entire family (5 people) save 120 gallons per day.
Subtraction:
Subtraction means we have to find the difference of the numbers.
Given,
A family of five recently replaced its 5-gallon-per-minute showerheads with water-saving 2-gallon per minute showerheads.
Each member of the family averages 8 minutes in the shower per day.
Here we need to find the entire family savings per day.
According to the question,
The total bath time for the whole family is,
=> 8 x 5 = 40
So for one day,
If the showerheads cost 5 gallon per minute, then the cost for the family is,
=> 40 x 5 = 200
If the showerheads cost 2 gallon per minute, then the cost for the family is,
=> 40 x 2 = 80
So, the savings is,
=> 200 - 80
=> 120
So, they save 120 gallons per day.
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The volume of a cylinder is 8,478 cubic inches, and the radius is 15 inches. Which measurement is closest to the
height of this cylinder in inches?
Answers
90in
12in
48in
8in
The measurement which is closest to the height of this cylinder is: C. 48 in.
Given the following data:
Volume of cylinder = 8,478 cubic inchesRadius of cylinder = 15 inches.To determine the measurement which is closest to the height of this cylinder in inches:
Mathematically, the volume of a cylinder is given by the formula:
[tex]Volume = \pi r^2h[/tex]
Where:
r is the radius.h is the height.Substituting the given parameters into the formula, we have;
[tex]8478 = 15^2h\\\\8478 = 225h\\\\h=\frac{8478}{225}[/tex]
Height, h = 37.38 inches.
Closest height = 48 inches.
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Pls help I will give brainlest 22, 18, 14, 10, ...
+ 4
A) a = 0,-1
4,= 17
B) a = 0,-1+4
a = 18
C) a = 4-,-4
a = 22
D) a = a,
a = 18
the sum of two positive integers $a$ and $b$ is $1001$. what is the largest possible value of $\gcd(a,b)$?
The two integers 143m, 143n = a, b have only the factor of 143 in common.....and it is the g c d of both given , two positive integers of a and b is = 1001 factors 0f 1001is = 7 x 11 x 13 So.....143 is the greatest proper divisor of 1001.This means, that we have 143( m + n) = 143m + 143m = a + b = 1001, where ( m + n) = 7 and,
m + n are two positive integers whose sum = 7,
they are relatively prime to each other.
Therefore, these two integer 143m, 143n = a, b have only the factor of 143 in common.....and it is the g c d of both
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero.
Integers come in three types: Zero (0) Positive Integers (Natural numbers) Negative Integers (Additive inverse of Natural Numbers)
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. A few examples of integers are: -5, 0, 1, 5, 8, 97, and 3,043. A set of integers, which is represented as Z, includes: Positive Numbers: A number is positive if it is greater than zero.
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Find the measure of each angle indicated.
Answer: (I worked left-right instead of column 1, then column 2. That's why the answers are jumbled up. 2 on my work corresponds to 4 in the pic, 3 corresponds to 2, 4 corresponds to 5, and 5 corresponds to 3.)
1. 75 degrees
2. 112 degrees
3. 89 degrees
4. x is 8, so 111 degrees
5. x is 3 in both cases, so 90 degrees each
6. x is -7, so 130 degrees
Step-by-step explanation:
1. Adjacent angles are the same measurement. Since the one labeled is 75 degrees, and the question marked angle is adjacent, it is also 75 degrees.
2. The angles shown are complementary, so they both equal 180 degrees. To find the angle marked with "?", subtract 68 from 180 for 112 degrees.
3. The angle labeled is 89 degrees. The one labeled with "?" should be the same, as it is below it, and on the same point as the labeled one. So, 89 degrees is the measurement.
4. The labeled angle is 69 degrees. 180 - 69 is 111 degrees. The equation shown now becomes 12x + 15 = 111. 111 - 15 is 96, which means 12x = 96. Divide both sides by 12 to get x equalling 8.
5. These lines are all perpendicular, so they're all 90 degrees. 29x + 3 = 90, and 31x - 3 = 90 are the new equations. I will attempt x as 3, to see if it's a true value. 29(3) is 87, and 87 + 3 is 90, so 3 is true there. 31(3) is 93, and 93 - 3 is also 90. So x is 3 in both cases
6. We already know one of the angles is 50 degrees. These are complementary, so subtract 50 from 180 to get 130 degrees. So, the equation is x + 137 = 130, which then becomes, 137 + -x = 130. 137 minus 30 is 7, so x is -7.
Answer:
1.) 75°
2.) 89°
3.) 90° x = 3
4.) 112°
5.) 111° x = 8
6.) 130° x = -7
Step-by-step explanation:
1.) They are vertical so they measure the same
2.) They are corresponding angles so they equal the same
3.) They should equal up to 180.
29x + 3 = 31x - 3 (subtract 29x on both sides)
3 = 2x - 3 (add 3 on both sides)
6 = 2x (divide by 2 on both sides)
3 = x Plug in. 29(3) + 3 = 90 Both angles equal 90 degrees
4.) They should equal up to 180. 180 - 68 = 112
5.) They should equal up to 180. They are same side interior angles. 69 + 12x + 15 = 180 (collect like terms)
84 + 12x = 180 (subtract 84 on both sides)
12x = 96 (divide by 12 on both sides)
x = 8 Plug in 12(8) + 15 = 111 degrees
6.) They should equal up to 180.
x + 137 + 50 = 180 (collect like terms)
x + 187 = 180 (subtract 187 on both sides)
x = -7 Plug in -7 + 137 + 50 = 180 (collect like terms) 180= 180
Hope this helps ya!
Nico was stunned when he opened the mail.Here was a check for $332.50 this is the interest he earned on his investment.One year ago Nico had been given 5,000.His parents made him put it in the bank and save it for college,but the said he could keep the interest it earned each year.A portion of his money is deposited in a high rate account that earned 8% annual interest.The rest is in a regular account that earned 3% this year.Both accounts pay simple interest computed at the end of the year.How much of Nicos money was invested in each account.
Answer:
Investment A = 3650
Investment B = 1350
Step-by-step explanation:
Given that:
Total interest earned = 332.50
Total Principal invested = 5000
Investment A:
Rate = 8%
Time = 1 year
Principal = a
Interest earned = 0.08a
Investment B:
Rate = 3%
Time = 1 year
Principal = b
Interest earned = 0.03b
a + b = 5000 ____(1)
0.08a + 0.03b = 332.50 - - - (2)
From (1)
a = 5000 - b
Into (2)
0.08(5000 - b) + 0.03b = 332.50
400 - 0.08b + 0.03b = 332.50
400 - 0.05b = 332.50
-0.05b = - 67.5
b = $1350
a = 5000 - b
a = 5000 - 1350
a = $3650
15:59:26
Which inequality has -12 in its solution set?
B
D
X+6<-8
H10
X+55-4
A
B
C
Answer:
D
Step-by-step explanation: I just took the quiz.
Hi!! Can you help me with this math problem? UvU okaayy TYYY!!
Which statement is not true for the parabola who equation is y= 2x^2- 12x +29
- The parabola opens upward
- The vertex is ( -3, 11)
- The axis of symmetry is x= 3
- The parabola contains the point ( 1, 19)
Again, thank q sm for helpingggg <3 I will give brainliest and Thanks hehe
Answer:
I just graphed it in desmos for you UvU
The second answer is false. The vertex is not (-3, 11). The vertex is (3, 11). I can see that the parabola has a point of (1, 19), and the parabola opens upward, as well as has an axis of symmetry; x = 3.
Hope that helps
Help Please! and Thank you!!
Answer:
Option D. [tex]50^{\circ}[/tex]
Step-by-step explanation:
[tex]\angle A + \angle B + \angle C = 180[/tex] (angles of a triangle sum to [tex]180^{\circ}[/tex])
[tex]\angle A + 100 + 30 = 180[/tex]
[tex]\angle A = 50^{\circ}[/tex]
Hope this helps :)
7/12+1/3 show your work and how you got your answer and you do all that and don’t scam me I will give branlist
Answer: 11/12
Step-by-step explanation:
7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:
7/12 + 4/12 = 11/12
11/12 is in simplest form, so that should be correct! Hope this helps! :)
Step-by-step explanation:
Hi so are we dating?????
3/5y+(-6/5y) help me plz
Answer:
I think it's 5 bc hypothetically speaking
Will mark as branilest and heart if help
Answer:
B
Step-by-step explanation:
as the easiest way to calculate without the help of a calculator ¯\_(ツ)_/¯
Factorise 9xsquared +3xcubed
Answer:
=3x^2\left(3+x\right)
Step-by-step explanation:
What is the average rate of change of the function from X=2 to x=4
(Write the answer as a whole number.)
Answer:
I have no results if I get some I will notify you
Step-by-step explanation:
I hope that help's
A function is shown on the coordinate plane below. 3 2 1 -4-3 -2 -1 3 4 N -2 -3 Over which intervalls) is the function increasing? Select all that apply. 0
Answer:
0 < x < 2
2 < x < 3
-1 < x < 0
Step-by-step explanation:
I would have to say those ones.
Hope this helps.
Answer:
0 < x < 2
2 < x < 3
-1 < x < 0
Step-by-step explanation:
A town has a population of 9000 and grows at 3% every year. What will be the population after 9 years, to the nearest whole number?
Answer:
11743
Step-by-step explanation:
correct on deltamath
Answer:
11743
Step-by-step explanation:
Isaiah spent $19.60 on a gift for his mother. The amount that he spent on the gift was StartFraction 5 over 7 EndFraction of the total amount that he spent at the store.
Which statements can be used to find x, the total amount that Isaiah spent at the store? Select three options.
A. StartFraction 5 over 7 EndFraction = StartFraction x over 19.60 EndFraction
B. StartFraction 5 over 7 EndFraction x = 19.60
C. StartFraction 5 over 7 EndFraction (StartFraction 7 over 5 EndFraction) x = 19.60 (StartFraction 7 over 5 EndFraction)
D. StartFraction 5 over 7 EndFraction (StartFraction 7 over 5 EndFraction) = StartFraction x over 19.60 EndFraction (StartFraction 7 over 5 EndFraction)
E. x = 27.44
Answer:
B,C and E
Step-by-step explanation:
I did the test
Answer:
that one dude is correct i can confirm this like frfr
Step-by-step explanation:
Can somebody help me??
Answer:
b and c are your answers
Step-by-step explanation:
Hopefully this helps :)
Jai earns $9.75 per hour. Jai works 3 hours one day and then works 7 hours the next day
Answer:
97.50
Step-by-step explanation:
9.75(3) + 9.75(7);
9.75(3+7); 97.50
23 % as a fraction in its simplest form.
Answer:
23/100
Step-by-step explanation:
i do not think you can simplify any further if you want simplest form.
Tthe tempature in the morning was -3 degrees if it rose 8 degrees before lunch what was the temperature at the linch time
Answer:
it rose to 5 degrees
Step-by-step explanation:
Ok hi I have a question. So when a manatee eats seagrass, the manatee's role is a consumer. But what is the name of the role of the seagrass? I know, but I forgot. Like is it a producer? Because it is an energy source for the manatee?
Answer:
It is a producer
Step-by-step explanation:
The seagrass IS a producer and it produces energy for the manatee without taking away other animals because it has photosynthesis
18 movie goers bought tickets on-line. This represents 30% of the total people going to the same movie. How many people are seeing the movie?
Answer:
60
Step-by-step explanation:
[tex]0.3 \times x =18 \\ x = 18 \div 0.3 \\ x = 60[/tex]
can someone help me with this please
Answer:
Step-by-step explanation:
The wording on this is not the best. It sounds like the 1 zero has even multiplicity (that's because of where the modifier is). On top of that it has an odd power. You could try this. y =x*(x^2+1)^2
The problem is not with the power. It gives x^5. The problem is with the multiplicity of the one place where it crosses. (X^2 + 1) does factor, but it gives a complex root. I'm not sure that's allowed. However, it is the best I can do.
I need help! :) please & ty
Answer:
Step-by-step explanation:
NO we can not prove ΔDEF ≅ΔOPQ using SAS congruence theorem becasue we are given ( not a Side Angle Side)
∠D≅∠O (Angle)
DF ≅ OQ (Side)
∠F ≅∠Q (Angle)
HOWEVER,
The ΔDEF ≅ΔOPQ because ASA concruence.
A toy which was bought for RS
A kettle is sold at a profit equal to one-fourth of its cost price. Find the profit percentage
Crice Find the profit %
Answer:
[tex]Profit\% = 25\%[/tex]
Step-by-step explanation:
Given
Let the cost price be x
The profit be y
Required
Determine the profit percentage:
According to the question; profit = 1/4 of cost price.
So:
[tex]y =\frac{1}{4}x[/tex]
The percentage profit is then calculated as:
[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]
This gives:
[tex]Profit\% = \frac{Profit}{Cost\ Price} * 100\%[/tex]
Substitute values for profit and cost price
[tex]Profit\% = \frac{\frac{1}{4}x}{x} * 100\%[/tex]
[tex]Profit\% = \frac{1}{4} * 100\%[/tex]
[tex]Profit\% = \frac{1 * 100\%}{4}[/tex]
[tex]Profit\% = 25\%[/tex]
PLEASE HELPPP this is only 10 points and if you do an answer out of the subject then i am ❌reporting❌you!!!
Answer:
y=3x-13
Step-by-step explanation:
if you cant read the part at the bottom it's just
( 7 , 8) ( 9 , 14)
x1 y1. x2 y2
earth's circumference is roughly 24,900 miles. using this information to calculate the answer to this question. then, use your answer to this question to calculate the answers to the next series of questions. round your answer to three decimal places (for example, 317.284 miles). in order to receive credit you must show your work. to show your work, please type out every number and mathematical function you used to arrive at the answer. how many miles are there in one degree of latitude? show your work. hint: consider that, while we only express latitudes up to 90 degrees (the number of degrees between the equator and the poles), the full circumference of any circle or sphere, (or near-sphere, in the case of the earth) encompasses 360 degrees.
There is a circumference of 69.167 miles per degree of latitude.
How many arc does the Earth comprise by one degree of its latitude?
Firstly, we assume that the earth is a spherical form to simplify calculations as spheres have constant radii of curvature, because the real form of the planet is similar to a oblate spheroid, a kind of ellipsoid. In addition, the circular arc (s), in miles, is directly proportional to the measure of the central angle (θ), in degrees, that is:
s ∝ θ
s = k · θ (1)
Where k is the constant of proportionality, in miles.
Now we eliminate the constant of proportionality and we calculate the circular arc afterwards:
s / 24900 mi = 1° / 360°
s = 1 / 360 × 24900 mi
s = 69.167 mi
There is a circumference of 69.167 miles per degree of latitude.
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pls help math esperts
Answer:
Jackson spent $4.25 on his lunch
Step-by-step explanation:
because $6.50- $2.25 is $4.25
Answer:
$4.25
Step-by-step explanation:
so for this problem you need to solve for jackson the way you do this is you take Matt's price for lunch and subtract it by the 2.25 to get jackson's answer cuz Matt spent $2.25 more than jackson
Help!!! Whats The answer, Please explain your answer Marking brainlliest:D.....I Really need this
Answer:
First, we need to find the rate.
210 = 21x
x = 10
We need to know how much he gets in 35 hours
35x
35(10) = 350
D is your answer.
What is the slope of the line containing the points (2,3) and (-4,0)?
A. 2
B. -1/4
C. 1/2
D. -2
Answer:
1/2 is the answer
Step-by-step explanation:
using the formula of slope Y2-Y1/X2- X1